The Moore Method has other variants grouped together under the "IBL" (Inquiry Based Learning) umbrella. I just finished teaching an intro (undergrad) real analysis course using an IBL script instead of a textbook and am amazed at how much more solidly all of my students absorbed the information in the course.
Certainly, this method doesn't move as quickly as traditional methods, but students assimilate the information so much more fully this really doesn't matter.
BTW: If you are interested in resources for running such a course, there are refereed IBL scripts in the journal of inquiry based learning in mathematics.